A sinusoidal graph has a maximum at the point (–40, 3) and a midline of y = – 12. Determine the amplitude of the graph.

Answers

Answer 1

Answer:

15

Step-by-step explanation:

The amplitude of y=sin(x) is 1 with a maximum of y=1 and a minimum of y=-1. It's amplitude is 1 because that is the distance the max( y=1 )is from the mid line (y=0) or the distance the min( y=-1 ) is from the mid line (y=0).

So we just need to find the distance the mid line, y=-12, and the max,y= 3, is from each other.

3--12=3+12=15

Answer 2
The amplitude of y=sin(x) is 1 with a maximum of y=1 and minimum of y=-1.It’s amplitude is 1 because that is the distance the max (y=1)is from the mid line (y=0)or the distance the min (y=-1) is from the mid line (y=0).

Related Questions

when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number​

Answers

Answer:

4

Step-by-step explanation:

Let the number = x

Added to 11 = 11+x

Multiply result by 3 = 3(11+x)

Final result = 45

Solving

3(11 + x) =45

33 +3x = 45

3x= 45-33

3x=12

X=4 by dividing both side by 3

Help fast pleaseeeeeeee

Answers

Step-by-step explanation:

-2. = [tex] \frac{1}{49} [/tex]-1 = [tex] \frac{1}{7} [/tex]0 = 11. = 72. = 49

find the trigonometric ratio tan m multiple choice

Answers

Answer:

a/b

Step-by-step explanation:

Tan = Opposite/Adjacent

Therefore, Tan M = a/b.

Please help me to solve this question as soon as possible. Thank you
1.6 is a common factor of 36 and y. Find the possible value of y.
A. 25
B. 48
C.57
D. 81

Answers

Answer:

the answer is B

Step-by-step explanation:

because only 48 is dividable by 6

A grocery store offers 2 free flashlights with any purchase. Rita can spend $100. The number of items that she can buy is given by

y = 100/x +2
where x is the average price per item. Identify the reasonable domain and range values.
D: x < 0
R: natural numbers > 2
D: x < 0
R: natural numbers < 2.
D: x > 0
R: natural numbers > 2
D: x > 0
R: natural numbers < 2

Answers

Answer:

The answer is D: x > 0

R: natural numbers > 2

Step-by-step explanation:

I got 100 on the quiz good luck bro

Please help me solve this guys pleasee im struggling

Answers

Answer:

see below

Step-by-step explanation:

y = x^2 +2x - 8

Factor

y = ( x+4)(x-2)

The zeros are

x+4 = 0  x-2 = 0    

x= -4    x= 2

(-4,0)  (2,0)

The axis of symmetry is 1/2 way between the zeros

(-4+2)/2 = -2/2 = -1

x = -1

The x coordinate of the vertex is at the axis of symmetry

The y value is found by substituting x=-1

y = (-1+4) (-1-2)= 3*-3 = -9

Vertex ( -1,-9)

The domain is all real numbers

The range is from -9 up

y≥ -9  since it opens upward

Anyone wanna help with this please ?

Answers

Answer:

y = mx + b

m = slope = -2

To find the y-intercept(b), substitute the points into the function:

-3 = -2(-5)  + b

-3 = 10 + b

b = -3 - 10 = -13

Therefore, y = -2x - 13

Answer:

Step-by-step explanation:

can you help me with this please.

Answers

Answer:

98 is the answer

Step-by-step explanation:

you add 8 each time

Answer:

a₁₃ = 98

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then

a₁₃ = 2 + (12 × 8) = 2 + 96 = 98

From a group of three boys and six girls a boy and a girl will be selected to attend a conference and how many ways can the selection you made

Answers

Answer:

18

Girl  = g

Boy = b

1g 1b  1g 2b  1g 3b

2g 1b  2g 2b  2g 3b

3g 1b  3g 2b  3g 3b

4g 1b   4g 2b  4g 3b

5g 1b   5g 2b  5g 3b

6g 1b   6g 2b  6g 3b

---------------------------------------

Another way you can do this,

6 × 3 = 18

In the end there will be 18 selections.

the correct answer is 18. hope this helps :)

find the 80th term following arithmetic sequence 8,14,20,26

Answers

Answer:

The 80th term is 482

Step-by-step explanation:

8,14,20,26

This is an arithmetic sequence

Find the common difference by taking the second term and subtracting the first term

14-8 = 6

We are adding 6 each time

The formula for an arithmetic sequence is

an =a1+d(n-1)  where a1 is the first term, d is the common difference and n is the term we are looking for

a80 = 8+6(80-1)

       = 8 + 6*79

     = 8+474

    = 482

The 80th term is 482

Answer: 482

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{Rule:} \\\\\boxed{ \huge \boxed{a_n=a_1+(n-1)d }} } \ \ \\\\\\ 8 \underbrace{}_6 14 \underbrace{}_620\underbrace{}_626 ......a_{80}=? \\\\\\a_1=8 \ \ ; \ \ d=6 \\\\\\ a_{80}=8+(80-1)\cdot 6=480+8-6=482 \\\\\\\\ Answer: \boxed{\boldsymbol{ a_{80}=482}}[/tex]

please help! will mark brainliest

Answers

Answer:

x = 67

Step-by-step explanation:

∠ C = ∠ FGD ( corresponding angles )

Consecutive angles in a parallelogram sum to 180° , then

∠ B + ∠  C = 180 , substitute values

73 + x + 40 = 180

x + 113 = 180 ( subtract 113 from both sides )

x = 67

Answer:

Step-by-step explanation:

<B = <GFE                       The parallelograms are similar.

<GFD + <GFE = 180         Consecutive angles in a parallogram = 180

<GFD = x + 40                 Given

FGE = 73                          Step One

x + 40 +   73 = 180           Substitution

x + 113 = 180                     Subtract 113 from both sides

x = 67  

What is the slope of a line parallel to line B?

Answers

The slope to line B is 5/2 so a line parallel would have a slope of 5/2.

Select the reason why these triangles are
similar. If they are not, select "Not similar."
1
88°
3
2
88
6
A. AA
B. SAS
C. SSS
D. Not similar

Answers

Answer:

B. SAS

Step-by-step explanation:

Ratio of sides equal:

• 4/2= 6/3

So the 2 sides are congruent and also share same angle between.

• B. SAS is the similarity reason

Ryan loves collecting keychains from his family vacations. He currently has 15 keychains in his collection and wants to add 5 keychains each year. How many keychains will be in his collection in 18 years?

Answers

Here you go, hope it helps

An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What is the length of this segment?

Answers

Answer: [tex]7.48\ cm[/tex]

Step-by-step explanation:

Given

The equal side of two isosceles triangle are [tex]9\ cm[/tex] long

Base of the triangle is [tex]10\ cm[/tex] long

Median divides the base into two equal halves

from the figure, it can be written

[tex]\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm[/tex]

The length of the segment is [tex]7.48\ cm[/tex]

The function f(c)=95c+32 is used to convert temperatures from Celsius, c, to Fahrenheit, f(c). What is the temperature in Fahrenheit when it is 22° Celsius? Round your answer to the nearest integer. A 40° B 54° C 72° D 97°

Answers

C 72°

Answer:

we have

f(c)=9/5C+32

now

22°C to °F

°C=22°

we have

f(c)=9/5C+32

f(c)=9/5*22+32=71.6≈72

answer is

22°C=72°F

Answer:  [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{72^\circ F}[/tex]

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} f(c)=\frac{9}{5} c+32 \ \ in \ \ our \ \ case \\\\\\\\f(22)=\frac{9\cdot 22}{5} +32=39,6+32=7\underline1,6\approx72^\circ F[/tex]

Which statement is true about the given function?

Answers

Answer:

it's the 3rd option

Step-by-step explanation:

f(x) 0 over the intervals (–∞ –3)

Hope it's right

If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a

Answers

Answer:

see explanation

Step-by-step explanation:

Given (x - m) is a factor of both then x = m make both expressions equal to zero.

m² - am + b = 0

m² - cm + d = 0

Then

m² - am + b = m² - cm + d ( subtract m² - cm from both sides )

cm - am + b = d ( subtract b from both sides )

cm - am = d - b ← factor out m from each term on the left side

m(c - a) = d - b ← divide both sides by (c - a)

m = [tex]\frac{d-b}{c-a}[/tex] ← as required

A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements
below best applies to the sample mathematical work?

Given the points above, I plug these values into the formula y2 -x1/ x2-x1 which yields the expression -1-2/3-2 , which gives a slope of -3.
А. the formula for the slope of the ne is incorrect
B. the student failed to plug in the proper values into the slope formula
C the numeric calculation to find the slope is incorrect
D. the mathematical work shown is correct

Answers

Answer:

A

Step-by-step explanation:

the formula of the slope is (y2 - y1)/(x2 - x1)

slope = (3-2)/(-1-2) = 1/(-3) = -1/3

use the formula v=u+at to find the velocity when the initial velocity is 3m/s2 the time is 7 seconds

Answers

Answer:

Step-by-step explanation:

hello

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and i dont know the answer

A square has a side length of 36 feet. This square is dilated by a scale factor of 23 to create a new square. What is the side length of the new square?

Answers

Answer:

828

Step-by-step explanation:

Multiple the side length by the dilation

36 x 23 = 828


The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?

Answers

Answer:

These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly

Step-by-step explanation:

These circles are:

A. tangent
B. congruent
C. congruent
D. none of these

Answers

Answer:

A. tangent

Step-by-step explanation:

Hi there!

Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.

I hope this helps!

PLSS HELPP
I already know the answer just help me by plotting them in the graph.

Answers

Answer:

plotting the (x,y) coordinates in graph

Find the value of a. A. 57 B. 104 C. 26 D. 52​

Answers

Answer:

Option D, 52

Answered by GAUTHMATH

express the following shaded area using a definite integral. use geometry to calculate the area. please show work too

Answers

Answer:

Integrate( sqrt(9-x^2) from x=-3 to x=3)

Step-by-step explanation:

The equation for a full circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and radius is r.

Your center, your (h,k) is (0,0). Your radius, your r, is 3.

So your equation is (x-0)^2+(y-0)^2=3^2 or more simply x^2+y^2=9.

We also must consider we don't have full circle.

Solving for y will give us the circle in terms of top half if we take positive values and bottom half if we take negative values. Since y is positive in the picture, you only see top half, we will only take the positive cases for y.

Subtracting x^2 on both sides gives: y^2=9-x^2

Square root both sides: y= sqrt(9-x^2)

(I did not choose -sqrt(9-x^2) because again y is positive).

So the x's in the picture range from -3 to 3.

The integral is therefore,

Integrate( sqrt(9-x^2) from x=-3 to x=3)


A function w satisfies w(1) = 5 and w(4) = 1. A
function z satisfies z(3) = 4 and z(4) = 5. What is
the value of w(z(3)) ?
A) 1
B) 2
C) 4.
D) 5
ce A

Answers

Answer: A) 1

Since z(3) = 4, w(z(3)) = w(4)Since w(4) = 1, w(z(3)) = w(4) = 1

What is the value of A when we rewrite (5/2)^x + (5/2)^x+3 as A x (5/2)^x?
A =

Answers

Answer:

A = 16.625

Step-by-step explanation:

Given :-

(5/2)^x + (5/2)^( x +3)

To rewrite in :-

A. (5/2)^x

Answer :-

(5/2)^x + (5/2)^(x+3) (5/2)^x + (5/2)^x . (5/2)³ (5/2)^x { 1 + (5/2)³ }

Hence :-

A = 1 + (5/2)³A = 1+ 125/8 A = 8 + 125/8 A = 133/8A = 16.625

8w + 19 - 4w = -5? What is the value of w?

Answers

Answer:

4w = -5-19

4w=-24

w=-6

hope that answers your question

good luck

help with this pls geometry!!

Answers

Answer:

548

Step-by-step explanation:

First, the sides:

7 × 12 = 84

84 × 2 = 168

7 × 10 = 70

70 × 2 = 140

10 × 12 = 120

120 × 2 = 240

Add:

168 + 140 + 240

 ^         ^

     308  +  240

            548  

Hope this helped.

Answer:

The surface area of the rectangular prism is 548[tex]ft^{2}[/tex]

Step-by-step explanation:

To find the surface area of the rectangular prism you need to use the formula

A=2(wl+hl+hw)

Answer to question commented:

The surface area of the other rectangular prism is 430[tex]ft^{2}[/tex]

Hope this helps!

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